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The serious difficulty of the lack of potential of the follower type of loading is overcome by formulating an appropriate energy balance equation, including loss of energy.
But even if we can circumvent the collapse problem, the more serious difficulty of this point of view is that it appears to be impossible to understand how specific observed values q, q′, q″, … can emerge from the same Ψ.
The earlier remarks in this section hint at the serious difficulty of seeing how any such routes are likely to provide a rationale for grounding the requisite metaphysical distinction(s).
There is also a less serious difficulty of explaining why the resulting function is one-to-one and onto intuitively this is just a matter of winding numbers if one can approximate U from inside by domains with smooth or piecewise-smooth closed curve boundaries.
Keeping in mind that previous results may be flawed due to the serious difficulty of obtaining a balanced statistical analysis, we step in the other direction aiming for an inference algorithm that is simpler than most other methods.
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There is clear and well documented evidence that early abuse, whether sexual, physical, emotional or through neglect, causes lasting damage, and in many cases leads to serious difficulties of personal development, which in turn may have seriously adverse consequences for the individual, his or her family, and society as a whole.
The large differences between the experts indicate the serious difficulties of quantifying the effectiveness of concrete actions.
In the case of banks storing human biological samples and data, this function objectively needed for a modern complex of biological sciences and technologies is associated with serious difficulties of the ethic and social, in general.
Due to the serious difficulties of this task, many different scoring functions have been developed which are classically categorised into force field, empirical and knowledge based approaches [3, 4].
Chad's cities face serious difficulties of municipal infrastructure; only 48% of urban residents have access to potable water and only 2% to basic sanitation.
The use of advanced methods, such as DXA and peripheral qCT, has posed serious difficulties on account of the complex and limited space around the jaw, as well as the potential risk for high local radiation exposure to neighboring vital structures, particularly in the head and neck.
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com